A. Dhahri

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math.OA2025

Quasi-invariant states with uniformly bounded cocycles

Ameur Dhahri, Eric Ricard

We investigate the notion of quasi-invariant states introduced in [2, 3] from an analytic viewpoint.We give the structures of quasi-invariant states with uniformly bounded cocycles…

math.OA2025

Martingales associated with strongly quasi-invariant states

Ameur Dhahri, Chul Ki Ko, Hyun Jae Yoo

We discuss the martingales in relevance with $G$ -strongly quasi-invariant states on a $C^{*}$ -algebra $A$ , where $G$ is a separable locally compact group of $*$ -automorphism…

math.OA2025

Group of automorphisms for strongly quasi invariant states

Ameur Dhahri, Chul Ki Ko, Hyun Jae Yoo

For a $*$ -automorphism group $G$ on a $C^{*}$ - or von Neumann algebra, we study the $G$ -quasi invariant states and their properties. The $G$ -quasi invariance or $G$ -strongly quasi in…